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Simplified form of Boolean expression $\text{xy+(~x)z+yz}$ is :

  1. $\text{xy+(~x)z}$
  2. $\text{(~x)y+(~x)z}$
  3. $\text{(~x)y+xz}$
  4. $\text{xy+xz}$
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1 Answer

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This problem is the identity w.r.t the consensus theorem of Boolean Algebra (Source: Consensus theorem)

i.e. $xy+\overline{x}z+yz=xy+\overline{x}z$

Option A is correct.

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